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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Minimax Systems and Critical Point Theory
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Minimax Systems and Critical Point Theory
Martin Schechter (Gebundene Ausgabe, Englisch)
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Beschreibung
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and… studies new results discovered since the author's preceding book entitled Linking Methods in Critical Point Theory . Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework. Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author's previous Birkhäuser work, Linking Methods in Critical Point Theory : The applications of the abstract theory are to the existence of (nontrivial) weak solutions of semilinear elliptic boundary value problems for partial differential equations, written in the form Au = f(x, u). . . . The author essentially shows how his methods can be applied whenever the nonlinearity has sublinear growth, and the associated functional may increase at a certain rate in every direction of the underlying space. This provides an elementary approach to such problems. . . . A clear overview of the contents of the book is presented in the first chapter, while bibliographical comments and variant results are described in the last one. -MathSciNet Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
10.06.2009
Sprache
Englisch
EAN
9780817648053
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Martin Schechter
Seitenanzahl
242
Auflage
2009
Einbandart
Gebundene Ausgabe
Einbandart Details
Fadenbindung
Schlagwörter
Boundary value problem, Linking Methods, Minimax Methods, differential equation, functional analysis, minimum, ordinary differential equation, partial differential equation, wave equation, partial differential equations, ordinary differential equations
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhauser Boston, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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